Rough lacunary statistical convergence in neutrosophic normed spaces

Vakeel A. Khan, S. K.Ashadul Rahaman, Bipan Hazarika*, Masood Alam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space. Furthermore, we present the idea of rough lacunary statistical cluster points in neutrosophic normed spaces and investigate the relationship between the set of these cluster points and the set of rough lacunary statistical limit points of the aforementioned convergence.

Original languageEnglish
Pages (from-to)7335-7351
Number of pages17
JournalJournal of Intelligent and Fuzzy Systems
Volume45
Issue number5
DOIs
Publication statusPublished - Nov 4 2023

Keywords

  • Neutrosophic normed space
  • rough convergence
  • rough lacunary statistical convergence
  • statistical convergence

ASJC Scopus subject areas

  • Statistics and Probability
  • General Engineering
  • Artificial Intelligence

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